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The first visually intuitive introduction to complex analysis, this radical approach replaces the standard calculational arguments with new geometric ones. This book is intended for undergraduates in mathematics, physics and engineering.
| ISBN | 0198534477 | | Pages | 615 | | ISBN13 | 9780198534471 (What's this?) | | Volumes | 001 | | Publisher | Oxford University Press | | Weight (grammes) | 1038 | | Imprint | Clarendon Press | | Published in | Oxford | | Format | Hardback | | Height (mm) | 230 | | Publication date | 01 Apr 1997 | | Width (mm) | 150 | | Library of Congress | QA331.7.N4 | | Spine width (mm) | 38 | | DEWEY | 515.9 | | Academic level | Undergraduate | | DEWEY edition | DC21 | |
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| 1 | | Geometry and Complex Arithmetic | | 1 | | 2 | | Complex Functions as Transformations | | 55 | | 3 | | Mobius Transformations and Inversion | | 122 | | 4 | | Differentiation: The Amplitwist Concept | | 189 | | 5 | | Further Geometry of Differentiation | | 216 | | 6 | | Non-Euclidean Geometry | | 267 | | 7 | | Winding Numbers and Topology | | 338 | | 8 | | Complex Integration: Cauchy's Theorem | | 377 | | 9 | | Cauchy's Formula and Its Applications | | 427 | | 10 | | Vector Fields: Physics and Topology | | 450 | | 11 | | Vector Fields and Complex Integration | | 472 | | 12 | | Flows and Harmonic Functions | | 508 | | | | References | | 573 | | | | Index | | 579 |
"Visual Complex Analysis is a delight, and a book after my own heart. By his innovative and exclusive use of the geometrical perspective, Tristan Needham uncovers many surprising and largely unappreciated aspects of the beauty of complex analysis." --Roger Penrose  Be the first to write a customer review
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